Energy Work Problem, all algebra

[enkerecz]

Homework Statement

A small block is placed at height h on a frictionless ramp inclined at an angle theta. Upon being released, the block slides down the ramp and then falls to the floor (a distance y below the base of the ramp). A small hole is located a horizontal distance x from the end of the ramp.

From what height, h , should the block be released in order to land in the hole? Note: that the unknowns for this problem are x, y, and theta. Your answer should be an algebraic expression that starts with h=

Homework Equations

The Attempt at a Solution

I started out by using the fact that
mg(h+y)=(1/2)mv^2
working it out to
h= (v^2/2g)-Y

my issue is finding v^2, I know that (2gh)^1/2 is the final velocity for both mgh and mgy.. I need to eliminate the h somehow because it is on both sides, but I am unsure how to do so. I have used trig, but am having no luck. I already solved this problem once using kinematics, and found it to be much easier. Any help solving this with energy would be appreciated.

 

[tiny-tim]

Welcome to PF!

Hi enkerecz! Welcome to PF!

(try using the X² tag just above the Reply box )

… I already solved this problem once using kinematics, and found it to be much easier. Any help solving this with energy would be appreciated.

(how did you manage to solve this without using x ? )

I don't think energy will give you anything more than the velocity on leaving the ramp: after that, you will have to use the standard constant acceleration equations.